Question

The volume of a cone is 20π cubic meters. What is the volume of a cylinder with the same base and height?

Answer 1

`\bf \begin{array}{llll} \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3} \end{array}\qquad \qquad \begin{array}{llll} \textit{volume of a cylinder}\\\\ V=\pi r^2 h\implies V=3\left( \cfrac{\pi r^2 h}{3} \right) \end{array}`

so, notice, the volume of a cylinder, with the same "r"adius and thus the same base, and the same "h"eight, is 3 times as large as that of the cone's.

so if the cone has a volume of 20π, the cylinder's is three times that much.